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Titlebook: Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers; Nicholas H. Wasserman Book 2018 Springer Nature

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发表于 2025-3-21 17:14:19 | 显示全部楼层 |阅读模式
书目名称Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers
编辑Nicholas H. Wasserman
视频video
概述Elaborates on connections to secondary mathematics that are specific to abstract algebra.Considers ways in which abstract algebra is insightful and productive for secondary teachers and secondary teac
丛书名称Research in Mathematics Education
图书封面Titlebook: Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers;  Nicholas H. Wasserman Book 2018 Springer Nature
描述.Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. .This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. .Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra,
出版日期Book 2018
关键词Secondary Mathematics Teacher Education; Abstract Algebra; Secondary Mathematics; Connections between S
版次1
doihttps://doi.org/10.1007/978-3-319-99214-3
isbn_ebook978-3-319-99214-3Series ISSN 2570-4729 Series E-ISSN 2570-4737
issn_series 2570-4729
copyrightSpringer Nature Switzerland AG 2018
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Anwendungen des Sinus- und Kosinussatzes., theory. In this chapter, we share results from a large-scale implementation of the GTCA with 375 students across 30 undergraduate institutions in the USA. We include a breakdown of performance based on major. We pair these findings with a detailed look at several GTCA tasks with direct connections
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Berechnung des rechtwinkligen Dreiecks,a in order to develop effective understandings of the concepts of zero-divisors and the zero-product property (ZPP) in abstract algebra. A critical step in the learning trajectory involved the outright rejection of the legitimacy of zero-divisors as counterexamples to the ZPP, an activity known as m
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Berechnung des rechtwinkligen Dreiecks,culum and helpful in building a coherent approach to school mathematics. We consider the case of quadratic equations, a topic which was once a topic of the abstract algebra of its day but whose place in the secondary curriculum is sometimes now questioned. We then consider the influence of the highe
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https://doi.org/10.1007/978-3-662-38242-4cs, aimed at conceptual coherence. It centrally features the real number line, with its geometric and arithmetic structures. It starts with linear measurement, expressed through division with remainder (.), which leads directly to place value and modular congruence. Abstract algebra enters through t
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Berechnung des rechtwinkligen Dreiecks,ctitioner and research-based viewpoints of their interrelated themes and implications for curriculum, research, and faculty professional development. In the context of making mathematical connections between abstract algebra and secondary mathematics explicit, this commentary reflects on the learnin
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